Non-analytic Bergman and Szegö kernels for weakly pseudoconvex tube domains in ℂ2

Joe Kamimoto

doi:10.1007/PL00004843

Non-analytic Bergman and Szegö kernels for weakly pseudoconvex tube domains in ℂ²

Joe Kamimoto

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

For any weakly pseudoconvex tube domain in ℂ² with real analytic boundary, there exist points on the boundary off the diagonal where the Bergman kernel and the Szegö kernel fail to be real analytic.

Original language	English
Pages (from-to)	585-603
Number of pages	19
Journal	Mathematische Zeitschrift
Volume	236
Issue number	3
DOIs	https://doi.org/10.1007/PL00004843
Publication status	Published - Mar 2001

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/PL00004843

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title = "Non-analytic Bergman and Szeg{\"o} kernels for weakly pseudoconvex tube domains in ℂ2",

abstract = "For any weakly pseudoconvex tube domain in ℂ2 with real analytic boundary, there exist points on the boundary off the diagonal where the Bergman kernel and the Szeg{\"o} kernel fail to be real analytic.",

author = "Joe Kamimoto",

year = "2001",

month = mar,

doi = "10.1007/PL00004843",

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AU - Kamimoto, Joe

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Non-analytic Bergman and Szegö kernels for weakly pseudoconvex tube domains in ℂ²

Abstract

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